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This paper demonstrates how composite-exponential-fitting
interpolation rules can be constructed to fit an oscillatory function using
not only pointwise values of that function but also of that functions’s derivative
on a closed and bounded interval of interest. This is done in the
framework of exponential-fitting techniques. These rules extend the classical
composite cubic Hermite interpolating polynomials in the sense that
they become the classical composite polynomials as a parameter tends to
zero. Some examples are provided to compare the newly constructed rules
with the classical composite cubic Hermite interpolating polynomials (or
recently developed interpolation rules).
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참고문헌 (11)
참고문헌 신청
K. E. Atkinson / 1989 / An Introduction to Numerical Analysis / John Wiley and Sons
K. J. Kim / 2005 / Two-frequency-dependent Gauss quadrature rules / J. Comput. Appl. Math 174 : 43 ~ 55
K. J. Kim / 2007 / Frequency-dependent interpolation rules using first derivatives for oscillatory functions / J. Comput. Appl. Math 205 : 149 ~ 160
L. Gr. Ixaru / 1984 / Numerical Methods for Differential Equations and Applications / Reidel, Dordrecht
L. Gr. Ixaru / 1997 / Operations on oscillatory functions / Comput. Phys. Commun 105 : 1 ~ 19
K. J. Kim / 2005 / Two-frequency-dependent Gauss quadrature rules / J. Comput. Appl. Math 174 : 43 ~ 55
K. J. Kim / 2007 / Frequency-dependent interpolation rules using first derivatives for oscillatory functions / J. Comput. Appl. Math 205 : 149 ~ 160
L. Gr. Ixaru / 1984 / Numerical Methods for Differential Equations and Applications / Reidel, Dordrecht
L. Gr. Ixaru / 1997 / Operations on oscillatory functions / Comput. Phys. Commun 105 : 1 ~ 19
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